Answer :

Key points to solve the problem:

• Idea of distance formula- Distance between two points P(x1,y1) and Q(x2,y2) is given by- PQ =

Incentre of a triangle - Let A(x1,y1) , B(x2,y2) and C(x3,y3) be the 3 vertices of ΔABC and O be the centre of circle inscribed in ΔABC

O = where a, b and c are length of sides opposite to A , B and C respectively.

Given, coordinates of vertices of triangle as shown in figure:

We need to find the coordinates of O:

Before that we have to find a ,b and c. We will use distance formula to find the same.

As, a = BC =

b = AC =

and c = AB =

coordinates of O =

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